Theorems · Theorem · order theory
CompositionSeries.Equivalent.length_eq
∀ {X : Type u} [inst : Lattice X] [inst_1 : JordanHolderLattice X] {s₁ s₂ : CompositionSeries X},
s₁.Equivalent s₂ → s₁.length = s₂.length- Defined in
- Mathlib.Order.JordanHolder
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- LatticeJordanHolderLattice
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Set.ofPredstatement · cited by 6,101
- Latticestatement and proof · cited by 916
- Fintype.card_finproof · cited by 270
- RelSeries.lengthstatement and proof · cited by 195
- Fintype.card_congrproof · cited by 67
- JordanHolderLatticestatement and proof · cited by 44
- JordanHolderLattice.IsMaximalstatement · cited by 42
- CompositionSeriesstatement and proof · cited by 40
- CompositionSeries.Equivalentstatement and proof · cited by 9
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